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Answer:
Layota
$47.5
Step-by-step explanation:
Let number of hours = x
Given that:
Oscar's charges :
First hour = $25
Additional hours = $15
Thus :
Total charge : 25 + 15(x - 1)
The piece wise equation given for Layota's charge rate :
First 3 hours = $30
Next 3 hours = $20
Hours greater Than 6 = $10
If total hours ; x = 5.5 hours
Oscar :
$25 + $15(5.5 - 1)
$25 + $15(4.5)
$25 + $67.5
= $92.5
Layota:
First 3 hours :
$30 * 3 = $90
Hours left :
$20 * (5.5 - 3)
$20 * 2.5 = 50
Total = $90 + $50 = $140
Layota charges more : 140 > 92.5
Difference :
$140 - $92.5
= $47.5
The only time you can be so certain that you have picked 2
brown socks is when there are no more white socks and black socks. This means
that to be 100% sure that you have picked 2 brown socks, you must pick all 12
white socks and all 18 black socks and only then you can pick 2 brown socks
without looking. Therefore the total number of socks that should be picked is:
Total number of socks = 12 white socks + 18 black socks + 2
brown socks
Total number of socks = 32 socks
A total picking of 32 socks is required to be certain
without looking that 2 brown have already been chosen.